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20133221232 = 2432983917239
BaseRepresentation
bin10010110000000010…
…001001001101110000
31220222010012121102110
4102300002021031300
5312213101034412
613125444445320
71311630361665
oct226002111560
956863177373
1020133221232
1185a1751113
123a9a6a9840
131b8b180677
14d8dc83a6c
157cc7d3d3c
hex4b0089370

20133221232 has 80 divisors (see below), whose sum is σ = 53871552000. Its totient is φ = 6471558912.

The previous prime is 20133221231. The next prime is 20133221233. The reversal of 20133221232 is 23212233102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20133221231) and next prime (20133221233).

It is a junction number, because it is equal to n+sod(n) for n = 20133221199 and 20133221208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20133221231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1159269 + ... + 1176507.

It is an arithmetic number, because the mean of its divisors is an integer number (673394400).

Almost surely, 220133221232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20133221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26935776000).

20133221232 is an abundant number, since it is smaller than the sum of its proper divisors (33738330768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20133221232 is a wasteful number, since it uses less digits than its factorization.

20133221232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18118 (or 18112 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20133221232 its reverse (23212233102), we get a palindrome (43345454334).

The spelling of 20133221232 in words is "twenty billion, one hundred thirty-three million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 839 1392 1678 2517 3356 5034 6712 10068 13424 17239 20136 24331 34478 40272 48662 51717 68956 72993 97324 103434 137912 145986 194648 206868 275824 291972 389296 413736 499931 583944 827472 999862 1167888 1499793 1999724 2999586 3999448 5999172 7998896 11998344 14463521 23996688 28927042 43390563 57854084 86781126 115708168 173562252 231416336 347124504 419442109 694249008 838884218 1258326327 1677768436 2516652654 3355536872 5033305308 6711073744 10066610616 20133221232